Re: "I have no idea what's going on." -- Towelie

Posted by Marcus G. Daniels on
URL: http://friam.383.s1.nabble.com/I-have-no-idea-what-s-going-on-Towelie-tp7593303p7593314.html

I wasn't try to relate it to your first question.   The evidence that degenerate states exist is that SQUID-based quantum computers can and do generate them.  

On 5/22/19, 5:02 PM, "Friam on behalf of uǝlƃ ☣" <[hidden email] on behalf of [hidden email]> wrote:

    OK. Well, I thought I could've digested the two papers by this time. But I've failed and will probably give up for now. It's still entirely unclear to me how the 3 level system's dark states facilitate the finer-than-diffraction-limited resolution. So, I can't place the OR gate example into the context of the laser lattice and my 1st basic question about energy state transitions via different energy photons.
   
    I believe I grok your point about any given "degenerate" state being "computed over" as if it is or could be real[ized], just so that the solutions are meaningful. But in the context of microscopy, distinguishing things below the resolution allowed by the drive beam, I remain completely lost.
   
    Hopefully, I'll try again soon ... maybe on an airplane flight when I have nothing to distract me. 8^)
   
    On 5/18/19 8:00 AM, Marcus Daniels wrote:
    > Glen writes:
    >
    > "What evidence is there of degenerate ground states?"
    >
    > The Hamiltonians for a logical operator like an OR gate need ground-state degeneracies for non-trivial applications.
    >
    > Configuration Input0 Input1 -> Output
    > A 0 0 -> 0
    > B 0 1 -> 1
    > C 1 0 -> 1
    > D 1 1 -> 1
    >
    > P(A) = P(B) = P(C) = P(D) = 0.25
    >
    > If the probabilities (thus energies) were not balanced, then the OR gate could not be inverted in a fair way.   Excited eigenstates typically exist, but they would give configurations that were wrong like "D 0 0 -> 1".  Suppose one wanted to find the key for a complex encryption circuit.  A gate encoding that completely favored one gate, P(X) = 1, would not enable search.
   
   
    --
    ☣ uǝlƃ
   
    ============================================================
    FRIAM Applied Complexity Group listserv
    Meets Fridays 9a-11:30 at cafe at St. John's College
    to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com
    archives back to 2003: http://friam.471366.n2.nabble.com/
    FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove
   

============================================================
FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com
archives back to 2003: http://friam.471366.n2.nabble.com/
FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove